53152553344000 has 352 divisors, whose sum is σ = 144764032450752. Its totient is φ = 19314155520000.

The previous prime is 53152553343941. The next prime is 53152553344043. The reversal of 53152553344000 is 44335525135.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2045811010 + ... + 2045836990.

It is an arithmetic number, because the mean of its divisors is an integer number (411261455826).

Almost surely, 2^{53152553344000} is an apocalyptic number.

53152553344000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53152553344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72382016225376).

53152553344000 is an abundant number, since it is smaller than the sum of its proper divisors (91611479106752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

53152553344000 is a wasteful number, since it uses less digits than its factorization.

53152553344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27480 (or 27452 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 40.

Adding to 53152553344000 its reverse (44335525135), we get a palindrome (53196888869135).

The spelling of 53152553344000 in words is "fifty-three trillion, one hundred fifty-two billion, five hundred fifty-three million, three hundred forty-four thousand".